Use the function f and the given function value f(x) = a to find (f-¹)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.) (f ¹)'(1) = f(x) = cos(9x), 0≤x≤ Need Help? Read It (₁1 f(0) = 1

Advanced Engineering Mathematics
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Use the function \( f \) and the given function value \( f(x) = a \) to find \((f^{-1})'(a)\). (Hint: See Example 5. If an answer does not exist, enter DNE.)

\[ f(x) = \cos(9x), \quad 0 \leq x \leq \frac{\pi}{9}, \quad f(0) = 1 \]

\[ (f^{-1})'(1) = \boxed{} \]

Need Help? [Read It]
Transcribed Image Text:Use the function \( f \) and the given function value \( f(x) = a \) to find \((f^{-1})'(a)\). (Hint: See Example 5. If an answer does not exist, enter DNE.) \[ f(x) = \cos(9x), \quad 0 \leq x \leq \frac{\pi}{9}, \quad f(0) = 1 \] \[ (f^{-1})'(1) = \boxed{} \] Need Help? [Read It]
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